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Finding the Third Proportional to 332,634.94 and 521,205.75

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Solution

The third proportional to 332,634.94 and 521,205.75 is: 816,677.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,634.94 : 521,205.75 = 521,205.75 : x
  2. Step 2: Convert to fraction form
    332,634.94/521,205.75 = 521,205.75/x
  3. Step 3: Cross multiply
    332,634.94x = 521,205.75 × 521,205.75
  4. Step 4: Simplify right side
    332,634.94x = 271,655,433,833.06
  5. Step 5: Solve for x
    x = 271,655,433,833.06/332,634.94
  6. Step 6: Final answer
    x = 816,677.39

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.